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std::hypot

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< cpp‎ | numeric‎ | math

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C++
 
Numéricos biblioteca
Funciones matemáticas comunes
Floating-point medio ambiente
Los números complejos
Matrices numéricas
Pseudo-aleatoria de generación de números
En tiempo de compilación aritmética racional (C++11)
Genéricos operaciones numéricas
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Generic numeric operations
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iota(C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
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Operaciones básicas
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remainder(C++11)
remquo(C++11)
fma(C++11)
fmax(C++11)
fmin(C++11)
fdim(C++11)
nan
nanf
nanl		(C++11)
(C++11)
(C++11)
Funciones exponenciales
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Exponential functions
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exp
exp2(C++11)
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log
log10
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log2(C++11)
Funciones de energía
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Power functions
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sqrt
cbrt(C++11)
hypot(C++11)
pow
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Trigonometric and hyperbolic functions
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sinh
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signbit(C++11)
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isgreaterequal(C++11)
isless(C++11)
islessequal(C++11)
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Constantes Macro
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Macro constants
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FP_NORMAL
FP_SUBNORMAL
FP_ZERO
FP_INFINITE
FP_NAN		(C++11)
(C++11)
(C++11)
(C++11)
(C++11)
 
Defined in header <cmath>
float       hypot( float x, float y );
 (1) (desde C++11)
double      hypot( double x, double y );
 (2) (desde C++11)
long double hypot( long double x, long double y );
 (3) (desde C++11)
Promoted    hypot( Arithmetic x, Arithmetic y );
 (4) (desde C++11)
Calcula la raíz cuadrada de la suma de los cuadrados de x y y, sin desbordamiento o subdesbordamiento indebida en fases intermedias de la computación. Esta es la longitud de la hipotenusa de un triángulo rectángulo con lados de longitud x y y, o la distancia de la (x,y) punto desde el origen (0,0), o la magnitud de un número complejo x+iy
Original:
Computes the square root of the sum of the squares of x and y, without undue overflow or underflow at intermediate stages of the computation. This is the length of the hypotenuse of a right-angled triangle with sides of length x and y, or the distance of the point (x,y) from the origin (0,0), or the magnitude of a complex number x+iy
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4)
Si algún argumento es de tipo integral, que se convierte en double. Si cualquier otro argumento es long double, entonces el tipo de retorno es long double, de lo contrario es double .
Original:
If any argument has integral type, it is cast to double. If any other argument is long double, then the return type is long double, otherwise it is double.
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Contenido

[editar] Parámetros

x -
flotando valor en puntos
Original:
floating point value
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y -
flotando valor en puntos
Original:
floating point value
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[editar] Valor de retorno

La hipotenusa de un triángulo rectángulo, √x2
+y2
 .
Original:
The hypotenuse of a right-angled triangle, √x2
+y2
.
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[editar] Excepciones

Si el resultado se desborda, un error de rango puede ocurrir y FE_OVERFLOW haber erupción .
Original:
If the result overflows, a range error may occur and FE_OVERFLOW may be raised.
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Si el resultado es inferior a la normal, un error de desbordamiento se puede producir y puede ser levantado FE_UNDERFLOW .
Original:
If the result is subnormal, an underflow error may occur and FE_UNDERFLOW may be raised.
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[editar] Notas

Estrategia de aplicación típico es calcular un equivalente de u√1+(
v
u
)2
 donde u es std::max(x,y) y v es std::min(x,y) .
Original:
Typical implementation strategy is to calculate an equivalent of u√1+(
v
u
)2
 where u is std::max(x,y) and v is std::min(x,y).
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[editar] Ejemplo

#include <cmath>
#include <utility>
#include <iostream>
 
std::pair<double, double> cartesian_to_polar(double x, double y)
{
    return {std::hypot(x, y), std::atan2(y,x)};
}
 
int main()
{
    std::pair<double, double> polar = cartesian_to_polar(1, 1);
    std::cout << "(1,1) cartesian is (" << polar.first
               << "," << polar.second<< ") polar\n";
}

Output: 

(1,1) cartesian is (1.41421,0.785398) polar

[editar] Ver también

 calcula la raíz cuadrada (√x)
(función) [edit]
eleva un número a la potencia dada (xy)
Original:
raises a number to the given power (xy)
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(función) [edit]
devuelve la magnitud de un número complejo
Original:
returns the magnitude of a complex number
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(función de plantilla) [edit]
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